Optimal Boundary Estimates for Stokes Systems in Homogenization Theory

DOI10.1137/16M1108571zbMath1379.35013arXiv1612.06042MaRDI QIDQ5369062

Shu Gu, Qiang Xu

Publication date: 12 October 2017

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.06042

zbMATH Keywords

Dirichlet problemrapidly oscillating periodic coefficients\(L^\infty\) estimate for pressureLipschitz estimates for velocity

Mathematics Subject Classification ID

Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Higher-order elliptic systems (35J48)

Related Items (10)

Large-scale regularity of nearly incompressible elasticity in stochastic homogenization ⋮ Stokes and Navier-Stokes equations with Navier boundary conditions ⋮ \(L^p\) Neumann problems in homogenization of general elliptic operators ⋮ Periodic homogenization of Green's functions for Stokes systems ⋮ Large-scale regularity for the stationary Navier-Stokes equations over non-Lipschitz boundaries ⋮ Regularity theory of elliptic systems in \(\varepsilon\)-scale flat domains ⋮ Uniform Lipschitz estimates of homogenization of elliptic systems in divergence form with Dini conditions ⋮ Convergence rates in homogenization of the mixed boundary value problems ⋮ Homogenization of nonlinear equations with mixed boundary conditions ⋮ Convergence rates of nonlinear Stokes problems in homogenization

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